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The Lean 4 theorem `diagComparison_eq` in the `ChapterNavierStokesFarisLavineLift` chapter of the timepiece formalization

Proved
BookProof.NavierStokesFlow.FarisLavineLift.diagComparison_eq

by leonardopedro · Sep 12, 2026 · Mathlib 0df444a (Lean v4.33.1)

timepiece

The Lean 4 theorem diagComparison_eq in the ChapterNavierStokesFarisLavineLift chapter of the timepiece formalization.

Preamble
-- Generated from ChapterNavierStokesFarisLavineLift.lean — theorem BookProof.NavierStokesFlow.FarisLavineLift.diagComparison_eq
import Mathlib
import Definitions.Def_ChapterNavierStokesFarisLavineLift
import Definitions.Def_ChapterNavierStokesDeficiency
open BookProof.NavierStokesFlow.DiagonalEsa
open BookProof.NavierStokesFlow
open BookProof.NavierStokesFlow.FarisLavineLift













variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]






variable {F : Type*} [NormedAddCommGroup F] [InnerProductSpace ℂ F]



variable {d : ℕ} (c : ComparisonData F d)
Formal statement
theorem BookProof.NavierStokesFlow.FarisLavineLift.diagComparison_eq (d : ℕ) (p q : Fin d → ℕ → ℝ) :
    (diagComparisonData d p q).comparison
      = diagOp (fun k => (∑ i, p i k ^ 2) + (∑ i, q i k ^ 2) + 1) := by sorry
Source
https://github.com/leonardopedro/timepiece/blob/61595bc/BookProof/ChapterNavierStokesFarisLavineLift.lean

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